Solve for all values of x

**Jd09** · April 7th 2009, 10:52 PM

sin^2(x)=sinx

How would I go about answering this?
Would it work if I substitute x?

**Jhevon** · April 7th 2009, 10:54 PM

Originally Posted by Jd09

sin^2(x)=sinx

How would I go about answering this?
Would it work if I substitute x?

this is a quadratic in $\sin x$ . to see this, let $a = \sin x$ , then you have

$a^2 = a$

$\Rightarrow a^2 - a = 0$

now what?

**Jd09** · April 7th 2009, 11:00 PM

I had done the same, using the 'm' as a variable but I am not sure where to go on to next.

**Jhevon** · April 7th 2009, 11:04 PM

Originally Posted by Jd09

I had done the same, using the 'm' as a variable but I am not sure where to go on to next.

you should review algebra. at the very least, if you don't know what to do, apply the quadratic formula. in this case, it is overkill though

$m^2 - m = 0$

$\Rightarrow m(m - 1) = 0$

$\Rightarrow m = 0 \text{ or } m - 1 = 0$

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